Given numbers are 807,213,142

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 807,213,142 is 114594.

Find LCM of 807,213,142 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 71 x 269 x 1 x 2 = 114594

Therefore, the lowest common multiple of 807,213,142 is 114594.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

807 x 213 x 142 = 24408522

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

807 : 1, 3, 269, 807

213 : 1, 3, 71, 213

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,213,142, is 1.

Now, the common factors can be found like this.

807:3x 269

213:3x 71

142:2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 71 = 213

Therefore, the value for common factors is 213.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24408522/(1x213)

LCM = 24408522/213

LCM = 114594

Thus, we can understand that the LCM of 807,213,142 is 114594.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 665, 225, 923
• LCM of 693, 400, 503
• LCM of 867, 244, 860
• LCM of 193, 788, 529
• LCM of 243, 593, 996

1. What is the LCM of 807, 213, 142?

Answer: LCM of 807, 213, 142 is 114594.

2. How to calculate the LCM of 807, 213, 142?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 807, 213, 142.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.